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Finding the Third Proportional to 32,691,171 and 68,770,230

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Solution

The third proportional to 32,691,171 and 68,770,230 is: 144,667,333.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,691,171 : 68,770,230 = 68,770,230 : x
  2. Step 2: Convert to fraction form
    32,691,171/68,770,230 = 68,770,230/x
  3. Step 3: Cross multiply
    32,691,171x = 68,770,230 × 68,770,230
  4. Step 4: Simplify right side
    32,691,171x = 4,729,344,534,252,900
  5. Step 5: Solve for x
    x = 4,729,344,534,252,900/32,691,171
  6. Step 6: Final answer
    x = 144,667,333.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.